The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of...

The ideal gas law relates the pressure P, volume V, absolute temperature T, and amount of gas n. The law is

where R is the gas constant.

An engineer must design a large natural gas storage tank to be expandable to maintain the pressure constant at 2.2 atmospheres. In December when the temperature is 4°F (−15°C), the volume of gas in the tank is 28,500 ft3. What will the volume of the same quantity of gas be in July when the temperature is 88°F (31°C)? (Hint: Use the fact that n, R, and P are constant in this problem. Note also that K = °C + 273.2.)